Parameter-uniform numerical method for singularly perturbed 2D delay parabolic convection-diffusion problems on Shishkin mesh

DOI10.1007/s12190-018-1175-yzbMath1422.65150OpenAlexW2792824299WikidataQ130165701 ScholiaQ130165701MaRDI QIDQ2317400

Abhishek Das, Srinivasan Natesan

Publication date: 9 August 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-018-1175-y

zbMATH Keywords

uniform convergenceboundary layersupwind schemepiecewise-uniform Shishkin meshsingularly perturbed 2D delay parabolic problems

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Second-order parabolic equations (35K10)

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Cites Work

• Unnamed Item
• Delay differential equations: with applications in population dynamics
• A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems
• Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection-diffusion problems on shishkin mesh
• A hybrid difference scheme on a Shishkin mesh for linear convection-diffusion problems
• Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems
• A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids
• A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Difference Methods for Singular Perturbation Problems
• ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations
• Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
• Asymptotic Stability of a Time-Delayed Diffusion System
• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem